The Wnt signalling pathway controls cell proliferation and differentiation, and its deregulation is implicated in different diseases including cancer. Learning how to manipulate this pathway could substantially contribute to the development of therapies. We developed a mathematical model describing the initial sequence of events in the Wnt pathway, from ligand binding to β-catenin accumulation, and the effects of inhibitors, such as sFRPs (secreted Frizzled-related proteins) and Dkk (Dickkopf). Model parameters were retrieved from experimental data reported previously. The model was retrospectively validated by accurately predicting the effects of Wnt3a and sFRP1 on β-catenin levels in two independent published experiments (R(2) between 0.63 and 0.91). Prospective validation was obtained by testing the model's accuracy in predicting the effect of Dkk1 on Wnt-induced β-catenin accumulation (R(2)≈0.94). Model simulations under different combinations of sFRP1 and Dkk1 predicted a clear synergistic effect of these two inhibitors on β-catenin accumulation, which may point towards a new treatment avenue. Our model allows precise calculation of the effect of inhibitors applied alone or in combination, and provides a flexible framework for identifying potential targets for intervention in the Wnt signalling pathway.

Choosing a potent selection antibiotic (SA), is a crucial success factor when creating stably transfected cell lines using an antibiotic selection marker. The selection capacity of this antibiotic is defined as its ability to kill sensitive, untransfected parental cells, while leaving resistant, transfected cells unharmed. Currently, no procedure has been described to determine this selection capacity. Therefore, a protocol to obtain a numerical value, called the "selectivity factor" (SF), that defines the selection capacity of SAs is developed. The SF is determined by using a modified MTT (3-(4,5-dimethylthiazol-2-yl)-diphenyltetrazolium bromide) assay for both sensitive and resistant cells, and applies to commonly used cell lines. To prove the concept, the SF of the SA G418 and hygromycin B (HmB) on several cell lines is determined. The SF of G418 on BHK-21 cells is very high, indicating that G418 is an ideal SA for transfected BHK-21 cells. For HeLa cells, the SF of G418 is very low suggesting G418 is not an optimal SA for selecting transfected HeLa cells. For these cells, HmB would be a better choice. These conclusions are confirmed by an independent cell death assay. The SF identifies the most optimal SA for a certain cell line, reduces the risk of selecting spontaneously resistant cell clones, and streamlines the process of generating stable cell lines. Most importantly, the method is especially time saving when obtaining stable cell lines expressing toxic genes, and reduces culture times for generating large numbers of cell lines from the same parental cell line.